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1.3 2 648 ÷ 42 1.4 9 850 ÷ 50
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2. Now use any method of your choice and calculate:

2.1 15 350 ÷ 45 2.2 32 648 ÷ 28
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Assessment

Learning outcomes(LOs)
LO 1
Numbers, Operations and RelationshipsThe learner will be able to recognise, describe and represent numbers and their relationships, and to count, estimate, calculate and check with competence and confidence in solving problems.
Assessment standards(ASs)
We know this when the learner:
1.2 describes and illustrates various ways of writing numbers in different cultures (including local) throughout history;
1.3 recognises and represents numbers in order to describe and compare them:
1.3.6 multiples of single-digit numbers to at least 100;
1.3.7 factors of at least any 2-digit whole number;
1.6 solves problems in context including contexts that may be used to build awareness of other Learning Areas, as well as human rights, social, economic and environmental issues;
1.6.1 financial (including buying and selling, profit and loss, and simple budgets);
1.8 estimates and calculates by selecting and using operations appropriate to solving problems:
1.8.1 rounding off to the nearest 5, 10, 100 or 1 000;
1.8.4 multiplication of at least whole 3-digit by 2-digit numbers;
1.8.5 division of at least whole 3-digit by 2-digit numbers;
1.9 performs mental calculations:
1.9.2 multiplication of whole numbers to at least 10 × 10;
1.10 uses a range of techniques to perform written and mental calculations with whole numbers:
1.10.1 adding and subtracting in columns;
1.10.4 doubling and halving;
1.10.5 using a calculator;
1.11 uses a range of strategies to check solutions and judge the reasonableness of solutions;
1.12 recognises, describes and uses:1.12.1 the reciprocal relationship between multiplication and division (e.g. if 5 × 3 = 15 then 15  3 = 5 and 15  5 = 3);1.12.3 The commutative, associative and distributive properties with whole numbers (the expectation is that learners should be able to use the properties and not necessarily know the names).
LU 2
Patterns, functions and algebraThe learner will be able to recognise, describe and represent patterns and relationships, as well as to solve problems using algebraic language and skills.
We know this when the learner:
2.2 describes observed relationships or rules in own words;
2.6 determines, through discussion and comparison, the equivalence of different descriptions of the same relationship or rule presented:
  • verbally;
2.6.3 by number sentences.

Memorandum

ACTIVITY 1

3.1

34
2 4 4 6 2 7

3.2

61
Res 1 1 5 5 6 1

4. 4.1 20 4.11 72

4.2 48 4.12 54

4.3 6 4.13 306

4.4 9 4.14 243 1 2 size 12{ { { size 8{1} } over { size 8{2} } } } {}

4.5 56 4.15 518

4.6 72 4.16 36

4.7 7 4.17 48

4.8 70 4.18 12

4.8 7 4.19 9

4.10 70 4.20 40

ACTIVITY 2

1.1 26 26

1.2 30 30

ACTIVITY 3

1.1 5

1.2 86

1.3 359

1.4 4 625

1.5 32 174

2. When any number is divided by 1, the answer always remains the number

BRAIN TEASERS

1 5 size 12{ { { size 8{1} } over { size 8{5} } } } {}

1 86 size 12{ { { size 8{1} } over { size 8{"86"} } } } {}

1 359 size 12{ { { size 8{1} } over { size 8{"359"} } } } {}
1 4625 size 12{ { { size 8{1} } over { size 8{"4625"} } } } {}

Fractions

3. 3.1 O E 3.2 O E

3.3 O E 3.4 O E

3.5 O E

4. Shows “Error” (Answer is incorrect)

BRAIN TEASERS

45

216

ACTIVITY 4

1.1 a) 10

  1. 10
  2. 3
  3. 25
  4. 20
  5. 14 rem 2

14 2 7 size 12{ { { size 8{2} } over { size 8{7} } } } {}

ACTIVITY 5

1.

2 5 9 12 147 256 1 438 2 652

O falls away. Each number moves one place to the right.

2.

3 8 12 26 147 325

2 Noughts fall away. Each number moves two places to the right.

3.

5 7 13 45 126 382

3 Noughts falls away. Each number moves three places to the right.

2. 2.1 = (1 380 size 12{ div } {} 110) size 12{ div } {} 6

= 138 size 12{ div } {} 6

= 23

2.2 = (32 840 size 12{ div } {} 10) size 12{ div } {} 4

= 3 284 size 12{ div } {} 4

= 821

2.3 = (15 500 size 12{ div } {} 100) size 12{ div } {} 5

= 155 size 12{ div } {} 5

= 31

2.4 = (312 300 size 12{ div } {} 100) size 12{ div } {} 3

= 3 123

= 1 041

3. 3.1 = 105 size 12{ div } {} 3 size 12{ div } {} 7 3.2 = 216 size 12{ div } {} 4 size 12{ div } {} 6

= 35 size 12{ div } {} 7 = 54 size 12{ div } {} 6

= 5 = 9

3.3 = 432 size 12{ div } {} 8 size 12{ div } {} 3 3.4 = 126 size 12{ div } {} 2 size 12{ div } {} 7

= 54 size 12{ div } {} 3 = 63 size 12{ div } {} 7

= 18 = 9

5. 5.1 = (3 000 + 45 ) size 12{ div } {} 15

= ( 3 000 size 12{ div } {} 15) + ( 45 size 12{ div } {} 15

= 200 + 3

= 203

5.2 = (2 000 + 500 + 75 ) size 12{ div } {} 25

= (2 000 size 12{ div } {} 25) + ( 500 size 12{ div } {} 25 ) + ( 75 size 12{ div } {} 25 )

= 80 + 20 + 3

= 103

ACTIVITY 8

1.

a) 2
b) 6
c) 20
d) 175
e) 400

ACTIVITY 12

186 250

1.1 25 4650 ¯ size 12{"25" {\lline overline "4650"} } {} 1.2 21 5250 ¯ size 12{"21" {\lline overline "5250"} } {}

-25 -42

215 105

-200 -105

150 0

-150 -0

.

1.3 63 1.4

197

50 9850 ¯ size 12{"50" {\lline overline "9850"} } {}
-50 485 -450 350 -350 42 2648 ¯ size 12{"42" {\lline overline "2648"} } {}

-252

128

-126

2

63 rem 2

2.1 341 rem 5 2.2 1 166

Questions & Answers

Application of nanotechnology in medicine
what is variations in raman spectra for nanomaterials
Jyoti Reply
I only see partial conversation and what's the question here!
Crow Reply
what about nanotechnology for water purification
RAW Reply
please someone correct me if I'm wrong but I think one can use nanoparticles, specially silver nanoparticles for water treatment.
Damian
yes that's correct
Professor
I think
Professor
what is the stm
Brian Reply
is there industrial application of fullrenes. What is the method to prepare fullrene on large scale.?
Rafiq
industrial application...? mmm I think on the medical side as drug carrier, but you should go deeper on your research, I may be wrong
Damian
How we are making nano material?
LITNING Reply
what is a peer
LITNING Reply
What is meant by 'nano scale'?
LITNING Reply
What is STMs full form?
LITNING
scanning tunneling microscope
Sahil
how nano science is used for hydrophobicity
Santosh
Do u think that Graphene and Fullrene fiber can be used to make Air Plane body structure the lightest and strongest. Rafiq
Rafiq
what is differents between GO and RGO?
Mahi
what is simplest way to understand the applications of nano robots used to detect the cancer affected cell of human body.? How this robot is carried to required site of body cell.? what will be the carrier material and how can be detected that correct delivery of drug is done Rafiq
Rafiq
if virus is killing to make ARTIFICIAL DNA OF GRAPHENE FOR KILLED THE VIRUS .THIS IS OUR ASSUMPTION
Anam
analytical skills graphene is prepared to kill any type viruses .
Anam
what is Nano technology ?
Bob Reply
write examples of Nano molecule?
Bob
The nanotechnology is as new science, to scale nanometric
brayan
nanotechnology is the study, desing, synthesis, manipulation and application of materials and functional systems through control of matter at nanoscale
Damian
Is there any normative that regulates the use of silver nanoparticles?
Damian Reply
what king of growth are you checking .?
Renato
What fields keep nano created devices from performing or assimulating ? Magnetic fields ? Are do they assimilate ?
Stoney Reply
why we need to study biomolecules, molecular biology in nanotechnology?
Adin Reply
?
Kyle
yes I'm doing my masters in nanotechnology, we are being studying all these domains as well..
Adin
why?
Adin
what school?
Kyle
biomolecules are e building blocks of every organics and inorganic materials.
Joe
anyone know any internet site where one can find nanotechnology papers?
Damian Reply
research.net
kanaga
sciencedirect big data base
Ernesto
Introduction about quantum dots in nanotechnology
Praveena Reply
hi
Loga
what does nano mean?
Anassong Reply
nano basically means 10^(-9). nanometer is a unit to measure length.
Bharti
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Source:  OpenStax, Mathematics grade 5. OpenStax CNX. Sep 23, 2009 Download for free at http://cnx.org/content/col10994/1.3
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